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dc.contributor.authorYan, Hongmei
dc.contributor.authorLiu, Yuming
dc.contributor.authorKominiarczuk, Jakub
dc.contributor.authorYue, Dick K. P.
dc.date.accessioned2013-10-04T14:27:48Z
dc.date.available2013-10-04T14:27:48Z
dc.date.issued2009-11
dc.date.submitted2009-08
dc.identifier.issn0022-1120
dc.identifier.issn1469-7645
dc.identifier.urihttp://hdl.handle.net/1721.1/81309
dc.description.abstractThe dynamics of the air cavity created by vertical water entry of a three-dimensional body is investigated theoretically, computationally and experimentally. The study is focused in the range of relatively low Froude numbers, Fr ≡ V(gD)−1/2 ≤ O(10) (where V is the dropping velocity of the body, D its characteristic dimension and g the gravitational acceleration), when the inertia and gravity effects are comparable. To understand the physical processes involved in the evolution of cavity, we conduct laboratory experiments of water entry of freely dropping spheres. A matched asymptotic theory for the description of the cavity dynamics is developed based on the slender-body theory in the context of potential flow. Direct comparisons with experimental data show that the asymptotic theory properly captures the key physical effects involved in the development of the cavity, and in particular gives a reasonable prediction of the maximum size of the cavity and the time of cavity closure. Due to the inherent assumption in the asymptotic theory, it is incapable of accurately predicting the flow details near the free surface and the body, where nonlinear free surface and body boundary effects are important. To complement the asymptotic theory, a fully nonlinear numerical study using an axisymmetric boundary integral equation is performed. The numerically obtained dependencies of the cavity height and closure time on Froude number and body geometry are in excellent agreement with available experiments.en_US
dc.description.sponsorshipUnited States. Office of Naval Researchen_US
dc.language.isoen_US
dc.publisherCambridge University Pressen_US
dc.relation.isversionofhttp://dx.doi.org/10.1017/s0022112009991558en_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.sourceOther University Web Domainen_US
dc.titleCavity dynamics in water entry at low Froude numbersen_US
dc.typeArticleen_US
dc.identifier.citationYAN, HONGMEI, YUMING LIU, JAKUB KOMINIARCZUK, and DICK K. P. YUE. Cavity Dynamics in Water Entry at Low Froude Numbers. Journal of Fluid Mechanics 641 (December 30, 2009): 441. © Cambridge University Press 2009.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mechanical Engineeringen_US
dc.contributor.departmentMassachusetts Institute of Technology. School of Engineeringen_US
dc.contributor.mitauthorYan, Hongmeien_US
dc.contributor.mitauthorLiu, Yumingen_US
dc.contributor.mitauthorKominiarczuk, Jakuben_US
dc.contributor.mitauthorYue, Dick K. P.en_US
dc.relation.journalJournal of Fluid Mechanicsen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsYAN, HONGMEI; LIU, YUMING; KOMINIARCZUK, JAKUB; YUE, DICK K. P.en_US
dc.identifier.orcidhttps://orcid.org/0000-0003-1273-9964
mit.licensePUBLISHER_POLICYen_US


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